Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #17986556 | C2 | semidirect |
| 2. #17986371 | C2 | semidirect |
| 3. #17986345 | C2 | semidirect |
| 4. #17986196 | C2 | semidirect |
| 5. #17986150 | C2 | semidirect |
| 6. #17986052 | C2 | semidirect |
| 8. C2×#11765853 | C22 | semidirect |
| 9. #14556128 | C22 | semidirect |
| 10. #14556128 | C22 | semidirect |
| 15. C4×Dic142 | C22 | semidirect |
| 17. C4⋊(C71⋊C8) | C22 | semidirect |
| 18. #14556049 | C22 | semidirect |
| 20. C4×C71⋊C8 | C22 | semidirect |
| 71. C2×C4×C71 | SD16 | semidirect |
| 105. C71 | #3208 | semidirect |
| 180. C2×C4 | #11765853 | semidirect |